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Hypergraphs are generalizations of graphs, where edges can be made of more than two vertices.
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Is an $O(n^{d-1})$ bound known for the maximum number of edges in an ordered $n$-vertex hype...
By a $d$-permutation hypergraph, I mean, for some fixed integer $k$, a $d$-uniform hypergraph on $[dk]$ with $k$ disjoint edges such that every edge has exactly one vertex from each of $\{1,\ldots,k\}$ … generalizes two results of Klazar and Marcus in https://arxiv.org/abs/math/0507164; Section 2 proves the statement when $d=2$ and Section 3 proves (or nearly proves proves) the case where the containing hypergraph …